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Q.

If the value of ‘g’ acceleration due to gravity, at earth surface is  10 m​/​s2, its value in  m​/​s2 at the centre of the earth, which is assumed to be a sphere of radius ‘R’ metre and uniform mass density is

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a

5

b

10/R

c

10/2R

d

Zero

answer is D.

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Detailed Solution

Inside a shell gravitational force is zero. Hence at the centre of earth the acceleration due to gravity is zero.
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If the value of ‘g’ acceleration due to gravity, at earth surface is  10 m​/​s2, its value in  m​/​s2 at the centre of the earth, which is assumed to be a sphere of radius ‘R’ metre and uniform mass density is